Least Common Multiple (LCM) of 127 and 59
The least common multiple (LCM) of 127 and 59 is 7493.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 127 and 59?
First, calculate the GCD of 127 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 59 = 2 remainder 9 |
| 2 | 59 ÷ 9 = 6 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 172 | 11180 |
| 96 and 142 | 6816 |
| 90 and 101 | 9090 |
| 126 and 121 | 15246 |
| 59 and 69 | 4071 |